Factual error: During the scene when Harry and Hagrid are on the motorbike going through a tunnel, the bus signals that it is going to Dartford. Both of the tunnels at Dartford carry north-bound traffic, going away from Dartford - all south-bound traffic, towards Dartford, travels on the bridge (visible in some shots). No traffic enters the tunnels heading south-bound towards Dartford.
Suggested correction: During times of high winds, the Dartford Bridge is closed, and one of the tunnels does, in fact, carry southbound traffic.
Factual error: In the scene immediately following Harry and Hermione's travel back through time, she tells him, "It's 7:30." The clock, however, is striking the bells for an hour, not a half-hour. (01:43:45)
Factual error: A theater marquee is visible promoting the showing of a film called Tribeca Follies. The acronym "Tribeca" - an amalgamation of "Triangle Below Canal [Street]" - didn't come into usage until the 1970s.
Factual error: When Harry talks to the snake, the camera shows a close up of the snake, and it blinks. Snakes don't blink because they lack eyelids. (00:06:50)
Factual error: In the final scene, (19 years later) the aerial shot of Kings Cross station is actually St. Pancras station, which is across the road from Kings Cross.
Factual error: After returning to the Dursley's after the dementor attack It is dark, this shows again when Vernon puts Dudley in the car. However, the howler from Mathila Hopkirk says that at 6:23pm Harry performed illegal magic. As the side story shows it is a hot summer, it wouldn't get dark until way past 8pm. (00:04:53 - 00:07:20)
Suggested correction: Fairly certain the film was clear that the reason it got dark was because of the dementors, they have the ability to change the weather to depressive darkness.